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Finding the Fourth Proportional to 256,857.08, 354,489.44 and 147,965.20

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Solution

The fourth proportional to 256,857.08, 354,489.44 and 147,965.20 is: 204,207.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,857.08 : 354,489.44 = 147,965.20 : x
  2. Step 2: Convert to fraction form
    256,857.08/354,489.44 = 147,965.20/x
  3. Step 3: Cross multiply
    256,857.08x = 354,489.44 × 147,965.20
  4. Step 4: Simplify right side
    256,857.08x = 52,452,100,887.49
  5. Step 5: Solve for x
    x = 52,452,100,887.49/256,857.08
  6. Step 6: Final answer
    x = 204,207.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.